248980414800 has 480 divisors, whose sum is σ = 891427167232. Its totient is φ = 59003043840.

The previous prime is 248980414799. The next prime is 248980414807. The reversal of 248980414800 is 8414089842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 248980414800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248980414807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55986177 + ... + 55990623.

Almost surely, 2^248980414800 is an apocalyptic number.

248980414800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248980414800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445713583616).

248980414800 is an abundant number, since it is smaller than the sum of its proper divisors (642446752432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248980414800 is a wasteful number, since it uses less digits than its factorization.

248980414800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 248980414800 in words is "two hundred forty-eight billion, nine hundred eighty million, four hundred fourteen thousand, eight hundred".